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math

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solve rs=3y+1,st=2y,rt=21

  • math - ,

    no unique solution, since you have 4 variables but only 3 equations.

    To find some solutions, you could do this:
    divide the 3rd by the 2nd
    rt/(st) = 21/(2y)
    r = 21s/(2y)
    sub into the 1st
    s(21s)/(2y) = 3y+1
    21s^2 = 2y(3y+1)
    s^2 = 2y(3y+1)/21
    s =√[2y(3y+1)/21 ]
    also t = 2y/s and r = 21/t

    so you could assign any value to y and get the others
    e.g. let y = 1
    then s = √(8/21) = appr 6.172
    then t = 3.24 and r = 6.48
    so (r,s,t,y) = (6.48, .6172, 3.24, 1)

    let y = 4
    s = √(104/21) = appr 2.225
    then t = 3.595 and r = 5.842
    (r,s,t,y) = (5.842, 2.225, 3.595, 4)

    I checked the above, if you store the 4 numbers in 4 separate memory locations on your calculator, the results are correct.
    Without a calculator the above would be a nightmare

  • Geometry - ,

    If

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